A389016 Decimal expansion of 4 * exp(-Pi/24) * 2^(1/8) * Gamma(3/4)^8 / Pi^2.

1, 9, 7, 1, 5, 6, 1, 5, 7, 1, 3, 1, 3, 2, 1, 0, 8, 3, 0, 4, 3, 9, 6, 8, 3, 4, 2, 0, 7, 5, 9, 9, 6, 3, 9, 2, 0, 2, 4, 0, 6, 2, 5, 2, 3, 4, 5, 3, 8, 3, 6, 1, 7, 1, 5, 3, 1, 8, 5, 1, 0, 5, 6, 5, 5, 5, 9, 0, 7, 8, 6, 7, 5, 9, 9, 1, 1, 9, 4, 1, 5, 5, 3, 4, 3, 0, 6

Offset

1,2

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A283120(k) / exp(k*Pi).

Example

1.97156157131321083043968342075996392024062523453836171531851056555907867599....

Mathematica

First[RealDigits[(4*2^(1/8)*Exp[-1/24*Pi]*Gamma[3/4]^8)/Pi^2, 10, 100]]

Prog

(PARI) 4 * exp(-1/24 * Pi) * 2^(1/8) * gamma(3/4)^8 / Pi^2

Crossrefs

Cf. A283120.

Sequence in context: A106727 A094134 A329117 * A309570 A383860 A393891

Adjacent sequences: A389013 A389014 A389015 * A389017 A389018 A389019

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 22 2025

Status

approved